On Einstein Finsler metrics

Semail Ülgen; Esra Sengelen Sevim; Irma Hacinliyan

doi:10.1142/S0129167X21500634

On Einstein Finsler metrics

Semail Ülgen^*
, Esra Sengelen Sevim
, Irma Hacinliyan

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Antalya Bilim University
Istanbul Bilgi University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.

Orijinal dil	İngilizce
Makale numarası	2150063
Dergi	International Journal of Mathematics
Hacim	32
Basın numarası	9
DOI'lar	https://doi.org/10.1142/S0129167X21500634
Yayın durumu	Yayınlandı - Ağu 2021

Bibliyografik not

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Finansman

Authors Semail Ülgen, Esra Sengelen Sevim are both supported in part by the Scientific and Technological Research Council of Turkey (TUBITAK), Grant (No. 113F311).

Finansörler	Finansör numarası
TUBITAK	113F311
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Belgeye Erişim

10.1142/S0129167X21500634

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On Einstein Finsler metrics",

abstract = "In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.",

keywords = "(α, β) -metrics, Einstein metrics, Ricci curvature, Ricci-flat",

author = "Semail {\"U}lgen and Sevim, \{Esra Sengelen\} and Irma Hacinliyan",

note = "Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

month = aug,

doi = "10.1142/S0129167X21500634",

language = "English",

volume = "32",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

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TY - JOUR

T1 - On Einstein Finsler metrics

AU - Ülgen, Semail

AU - Sevim, Esra Sengelen

AU - Hacinliyan, Irma

PY - 2021/8

Y1 - 2021/8

N2 - In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.

AB - In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.

KW - (α, β) -metrics

KW - Einstein metrics

KW - Ricci curvature

KW - Ricci-flat

UR - https://www.scopus.com/pages/publications/85108709490

U2 - 10.1142/S0129167X21500634

DO - 10.1142/S0129167X21500634

M3 - Article

AN - SCOPUS:85108709490

SN - 0129-167X

VL - 32

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 9

M1 - 2150063

ER -

On Einstein Finsler metrics

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap